The LCM and HCF of two numbers are 196 and 20 respectively. How many such pair (s) of numbers is possible?explain?
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One number cannot have its lcm and hcf same so there are no pairs which can have same hcf and lcm
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Answer: 15
Step-by-step explanation:
Let the two numbers be a and b.
The product of L.C.M and H.C.F of two numbers is the product of the numbers
Therefore 196 × 20 = 3920 = ab
The pairs of whole numbers that can make 3920 when multiplied with each other are:
3920,1 19600,2 980,4 784,5 560,7 490,8 392,10 280,14 245,16 196,20 140,28 112,35 98,40 70,56 80,49
A total of 15 combinations
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